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Simplifying 5(2c + -3) + 6c + 24 = 0 Reorder the terms: 5(-3 + 2c) + 6c + 24 = 0 (-3 * 5 + 2c * 5) + 6c + 24 = 0 (-15 + 10c) + 6c + 24 = 0 Reorder the terms: -15 + 24 + 10c + 6c = 0 Combine like terms: -15 + 24 = 9 9 + 10c + 6c = 0 Combine like terms: 10c + 6c = 16c 9 + 16c = 0 Solving 9 + 16c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 16c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 16c = 0 + -9 16c = 0 + -9 Combine like terms: 0 + -9 = -9 16c = -9 Divide each side by '16'. c = -0.5625 Simplifying c = -0.5625
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